Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises: 54

Answer

$\color{blue}{\frac{1}{s}\sqrt[6]{r}}$

Work Step by Step

Factor the radicand so that one factor is a perfect sixth power to obtain: $=\sqrt[6]{\left(\frac{1}{s^6}\right)(r)} \\=\sqrt[6]{\left(\frac{1}{s}\right)^6(r)}$ Bring out the cube root of the perfect cube factor to obtain: $\\=\color{blue}{\frac{1}{s}\sqrt[6]{r}}$
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